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Finding the Fourth Proportional to 10,561.41, 14,559.21 and 8,039.13

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Solution

The fourth proportional to 10,561.41, 14,559.21 and 8,039.13 is: 11,082.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,561.41 : 14,559.21 = 8,039.13 : x
  2. Step 2: Convert to fraction form
    10,561.41/14,559.21 = 8,039.13/x
  3. Step 3: Cross multiply
    10,561.41x = 14,559.21 × 8,039.13
  4. Step 4: Simplify right side
    10,561.41x = 117,043,381.89
  5. Step 5: Solve for x
    x = 117,043,381.89/10,561.41
  6. Step 6: Final answer
    x = 11,082.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.